- #1
mbcsantin
- 17
- 0
Homework Statement
Prove or find counterexamples. For any sets A, B, C in a universe U:
if A union C contained B union C then A contained B
Homework Equations
none.
The Attempt at a Solution
im just not sure if i did it right. id appreciate if you can check my work and let me know what changes i have to make. thanks
Let A be the empty set, and let B = C
Then A union C = B and
B union C = B so,
A union C contains B union C, but A does not contain B because A is the empty set and B is not.